Invariants of stable maps from the 3-sphere to the Euclidean 3-space

DOI10.1007/s00574-019-00133-4zbMath1436.57041arXiv1807.06122OpenAlexW2962824664MaRDI QIDQ2279169

Yanyan Li

Publication date: 12 December 2019

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.06122

zbMATH Keywords

stable mapssingular sets\(3\)-spherebranch sets

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Topological invariants on manifolds (58K65) Topological properties of mappings on manifolds (58K15)

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Cites Work

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• Global topological invariants of stable maps from 3-manifolds to \(\mathbb R^{3}\)
• Stable maps from surfaces to the plane with prescribed branching data
• Stable maps of surfaces into the plane
• Projections of surfaces with a connected fold curve
• Simple stable maps of 3-manifolds into surfaces
• First-order local invariants of stable maps from 3-manifolds to \(\mathbb R^{3}\)
• Graphs of stable maps from 3-manifolds to 3-space
• First order local invariants of apparent contours
• FIRST ORDER SEMI-LOCAL INVARIANTS OF STABLE MAPS OF 3-MANIFOLDS INTO THE PLANE
• On the geometry of simple germs of co-rank 1 maps from ℝ³ to ℝ³
• Local invariants of maps between 3-manifolds
• ON SINGULARITIES OF FOLDING TYPE

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